495986400 has 432 divisors, whose sum is σ = 2155424544. Its totient is φ = 104509440.

The previous prime is 495986383. The next prime is 495986417. The reversal of 495986400 is 4689594.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (495986383) and next prime (495986417).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 654822 + ... + 655578.

Almost surely, 2^495986400 is an apocalyptic number.

495986400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077712272).

495986400 is an abundant number, since it is smaller than the sum of its proper divisors (1659438144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

495986400 is a wasteful number, since it uses less digits than its factorization.

495986400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 495986400 is about 22270.7521202136. The cubic root of 495986400 is about 791.5710870143.

The spelling of 495986400 in words is "four hundred ninety-five million, nine hundred eighty-six thousand, four hundred".